Answer:
180%
Step-by-step explanation:
The answer is <span>f(x) = 2x2 + 3x – 3
</span>
f(x) = ax² + bx + c
a - the leading coefficient
c - the constant term
<u>We are looking for a = 2, c = -3</u>
Through the process of elimination:
The first (f(x) = 2x3 – 3) and the third choice (f(x) = –3x3 + 2) have x³ so these are not quadratic function.
In the function: <span>f(x) = –3x2 – 3x + 2
</span>a = -3
c = 2
In the function: f(x) = 2x2 + 3x – 3
a = 2
c = -3
Answer:
B.
Step-by-step explanation:
Let x be number of days and y be value of card.
It has been given that your parents gave you a gift card for your favorite coffee shop. The card was worth $50 when you got it. Each day, you buy a drink for $3.
We can see that value of card is dependent on number of days as value of card decrease by 3 each day. This means that slope of our line will be -3.
As initially you have $50, this means that y-intercept of our given line will be 50.
Since we know that equation of a line in slope-intercept form is:
, where,
m = Slope of line.
b = y-intercept.
Upon substituting our given values in slope intercept form of equation we will get,

Therefore, the equation
shows the value on the gift card over time.
Answer:

Step-by-step explanation:
Given: sin x + cos x
To change the given trigonometry expression in term of sine only.
Trigonometry identity:-
Expression: 
We get rid of cos x from expression and write as sine form.
Expression:

Hence, The final expression is only sine function.